Churchs thesis and functional programming

Past Members, Projects and Theses Here are some pointers to some of our areas of work in the past:

Type theory - Wikipedia

Combining filters and maps into pipelines Coffee Break: An alternative to map and filter List Comprehensions with Scala: Simple list comprehensions Coffee Break Explained: Simple list comprehensions A Generalisation of a list comprehension Comprehension over lists of objects Coffee Break: Working with lists of objects Coffee Break Explained: Working with lists of objects Comprehension over lists that have lists Comprehensions on lists of lists are flatMaps Relating filter, map and flatMap to comprehensions Working with multiple lists Coffee Break: Working with multiple lists Coffee Break Explained: Working with multiple lists List Comprehensions or filter, map and flatMap?

Summary Our journey of learning to program with immutability Boolean: A really simple immutable data structure Coffee Break: Find the size of a tree Coffee Break Explained: Finding the size of a tree Data structures that are combinations of elements Programming with immutable data structures Thinking in Data Structures is thinking in Types Coffee Break: More types for the Turtle Coffee Break Explained: A look at concise code with higher order functions Concise code tends to be declaritive code What is a higher order function?

A higher order function receives functions as inputs Coffee Break: Designing with Functions and Data Coffee Break: Designing with Functions and Data Summary.THE SEMANTIC ANALYSIS OF ADVANCED PROGRAMMING LANGUAGES by Harley D. Eades III A thesis submitted in partial ful llment of the requirements for the Doctor of Philosophy degree in Computer Science in the Graduate College of The University of Iowa August Thesis Supervisor: Associate Professor Aaron Stump.

Past members and theses

An Introduction to Functional Programming in Java 8 (Part 3): Streams Streams are an important functional approach that can impact performance via parallelism, augment and convert data structures.

For this, we are going to use Clojure, which is a dynamic functional language based on Lambda Calculus. Church Encoding.

A mathematician called Alonzo Church was able to encode data and operators in Lambda Calculus. Church encoding is the name of this way of building primitive Church-Turing Thesis.

Predrag Spasojevic The WiNLAB Network Centric Cognitive Radio (WiNC2R) is a task-based, programmable, multi-processor system-on-a-chip architecture for radio processing.

The earliest statement of Church’s Thesis, from Church () p is We now define the notion, already discussed, of an effectively calculable function of positive integers by identifying it with the notion of a recursive function of positive integers (or of a lambda- definable function of positive integers).

Propositions as Types Philip Wadler University of Edinburgh dations of functional programming, explaining features including functions, records, variants, parametric polymorphism, data ab- what we now know as Church’s Thesis, and demonstrated that there was a problem whose solution was not -.